On a~prescribed orientation of a~solid inclusion in a~viscous fluid
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 123-128.

Voir la notice de l'article provenant de la source Math-Net.Ru

We pose and solve a problem of the rotational motion of a solid inclusion in an oscillating viscous fluid. The new hydromechanical effect is revealed: under any (perturbed) initial position of the inclusion, there happens its subsequent “spontaneous” passage into one of the two stable equilibria corresponding to the orientation of the inclusion along the oscillation axis of the fluid.
Mots-clés : viscous fluid, inclusion, oscillation
Keywords: solid body, field of gravity, method of averaging.
@article{SJIM_2015_18_1_a9,
     author = {V. L. Sennitskii},
     title = {On a~prescribed orientation of a~solid inclusion in a~viscous fluid},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {123--128},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a9/}
}
TY  - JOUR
AU  - V. L. Sennitskii
TI  - On a~prescribed orientation of a~solid inclusion in a~viscous fluid
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2015
SP  - 123
EP  - 128
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a9/
LA  - ru
ID  - SJIM_2015_18_1_a9
ER  - 
%0 Journal Article
%A V. L. Sennitskii
%T On a~prescribed orientation of a~solid inclusion in a~viscous fluid
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2015
%P 123-128
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a9/
%G ru
%F SJIM_2015_18_1_a9
V. L. Sennitskii. On a~prescribed orientation of a~solid inclusion in a~viscous fluid. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 123-128. http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a9/

[1] Sennitskii V. L., “Preimuschestvenno odnonapravlennoe dvizhenie gazovogo puzyrya v vibriruyuschei zhidkosti”, Dokl. AN SSSR, 319:1 (1991), 117–119

[2] Sennitskii V. L., “Preimuschestvenno odnonapravlennoe dvizhenie szhimaemogo tverdogo tela v vibriruyuscheizhidkosti”, Prikl. mekhanika i tekhn. fizika, 1993, no. 1, 100–101

[3] Sennitskii V. L., “On motion of inclusions in uniformly and non-uniformly vibrating liquid”, Proc. Internat. Workshop on G-jitter (Potsdam, 13–19 June 1993), Clarkson Univ., Potsdam, USA, 1993, 178–186

[4] Lavrenteva O. M., “On the motion of particles in non-uniformly vibrating liquid”, Europ. J. Appl. Math., 10:3 (1999), 251–263 | DOI | MR | Zbl

[5] Sennitskii V. L., “O dvizhenii vklyucheniya v odnorodno i neodnorodno koleblyuscheisya zhidkosti”, Prikl. mekhanika i tekhn. fizika, 48:1 (2007), 79–85 | MR

[6] Sennitskii V. L., “O kolebatelnom dvizhenii neodnorodnogo tverdogoshara v vibriruyuschei zhidkosti”, Prikl. mekhanika i tekhn. fizika, 50:6 (2009), 27–35 | MR | Zbl

[7] Pyatigorskaya O. S., Sennitskii V. L., “Primer dvizheniya tsilindricheskogo tverdogo tela v vyazkoi zhidkosti”, Prikl. mekhanika i tekhn. fizika, 54:2 (2013), 81–87 | MR | Zbl

[8] Pyatigorskaya O. S., Sennitskii V. L., “O dvizhenii tverdykh chastits v koleblyuscheisya zhidkosti”, Prikl. mekhanika i tekhn. fizika, 54:3 (2013), 74–78 | MR | Zbl

[9] Kapitsa P. L., “Mayatnik s vibriruyuschim podvesom”, Uspekhi fiz. nauk, 44:1 (1951), 7–20

[10] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974 | MR

[11] Mitropolskii Yu. A., Metod usredneniya v nelineinoi mekhanike, Nauk. dumka, Kiev, 1971 | MR